Given:
To find:
The set of points that includes all of the solutions for the given equation.
Solution:
From the given equation, it is clear that y-values depend on the x-values.
If x is a real number, then y-values are real numbers such that .
So, the set of points that includes all of the solutions for the given equation is defined as for all real numbers.
Therefore, the correct option is B.
Answer:
1
Step-by-step explanation:
The average rate of change is measured as
in the closed interval [ a, b ]
here [ a, b ] = [ - 5, 5 ]
f(b) = f(5) = - 5² + 5 + 3 = - 25 + 8 = - 17
f(a) = f(- 5) = -(- 5)² - 5 + 3 = - 25 - 2 = - 27
Hence
average rate of change = = = 1
10 students per gender:
Boys: <span>four Xs over five and one X over zero, two, three, four, ten, and twelve.
5, 5, 5, 5, 0, 2, 3, 4, 10, 12 </span>→ 0, 2, 3, 4, 5, 5, 5, 5, 10, 12<span>
mean: 5.1
range: 12
</span><span>Girls: three Xs above eight, two Xs above three and four, and one X above two, six and seven.
8, 8, 8, 3, 3, 4, 4, 2, 6, 7 </span>→ 2, 3, 3, 4, 4, 6, 7, 8, 8, 8
<span>mean: 5.3
range: 6
The boys have the higher range while the girls have the higher mean value.
</span><span>
</span>
The statement which is true is the airplane reaches its maximum height of 81 feet in 12 seconds.
Since the height of the plane is a function given by a parabola, we need to know the equation of a parabola in vertex form
<h3>What is the equation of a parabola in vertex form?</h3>
The equation of a parabola with vertex (h,k) is given by y = a(x - h) + k
Since the height (in feet) of the airplane as a function of time (in seconds after the timer was started) is given by the equation h(t) = −(t − 12) + 81
- Since this is the equation of a parabola in vertex form, comparing h with y, we have that a = -1, h = 12 and k = 81
- Since a = -1 < 0 this implies that the point (h, k) = (12, 81) is a maximum point
So, the statement which is true is the airplane reaches its maximum height of 81 feet in 12 seconds.
Learn more about equation of a parabola in vertex form here:
brainly.com/question/17684824
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